Properties of infinite groups::Local property
Locally::space Group::property Locally::local Finite::small Circle::subgroup Finitely::spaces
Properties of infinite groups For an infinite group, a "small neighborhood" is taken to be a finitely generated subgroup. An infinite group is said to be locally P if every finitely generated subgroup is P. For instance, a group is locally finite if every finitely generated subgroup is finite. A group is locally soluble if every finitely generated subgroup is soluble.
Local property sections
Intro Properties of a single space Properties of a pair of spaces Properties of infinite groups Properties of finite groups Properties of commutative rings
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